Use a t-test to test the claim about the population mean u at the given level of significance a using the given sample statistics. Assume the population is normally distributed Claim: µ = 51,100; a = 0.05 Sample statistics: x =51,757, s = 3000, n = 18 Click the icon to view the t-distribution table. What are the null and alternative hypotheses? Choose the correct answer below. O A. Ho: H= 51,100 Hai H#51,100 O B. Ho: µ251,100 H: µ< 51,100 O C. Ho: H#51,100 Hai µ = 51,100 O D. Ho: us51,100 Hgi H >51,100 What is the value of the standardized test statistic? The standardized test statistic, t is (Round to two decimal places as needed.) What is(are) the critical value(s)? Hint: left-tailed (<), use "One Tail, a" column with a negative sign right-tailed (>), use "One Tail, a" column with a positive sign two-tailed (#), use "Two Tails, oa" column with a negative and a positive sign. The critical values are:. (Round to three decimal places as needed. Use a comma to separate answers as needed.) Decide whether to reject or fail to reject the null hypothesis. Compare t with the critical values. See formula sheet for more details. O A. Fail to reject Ho. There is enough evidence to reject the claim. O B. Reject Ho- There is enough evidence to reject the claim. OC. Reject Ho- There is not enough evidence to reject the claim. O D. Fail to reject Ho. There is not enough evidence to reject the claim.

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Use a t-test to test the claim about the population mean u at the given level of significance a using the given sample statistics. Assume the population is normally distributed.
Claim:
u = 51,100; a = 0.05 Sample statistics: x = 51,757, s = 3000, n = 18
Click the icon to view the t-distribution table.
What are the null and alternative hypotheses? Choose the correct answer below.
Ο Α. Η μ= 51,100
Ha: µ#51,100
B. H μ251,100
Ha: µ<51,100
C. Ho: µ#51,100
Hạ: µ= 51,100
O D. Ho: µs51,100
Hai µ>51,100
What is the value of the standardized test statistic?
The standardized test statistic, t is |. (Round to two decimal places as needed.)
What is(are) the critical value(s)?
Hint:
left-tailed (<), use "One Tail, a" column with a negative sign
right-tailed (>), use “One Tail, a" column with a positive sign
two-tailed (#), use "Two Tails, a" column with a negative and a positive sign.
The critical values are:
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
Decide whether to reject or fail to reject the null hypothesis. Compare t with the critical values. See formula sheet for more details.
A. Fail to reject Ho. There is enough evidence to reject the claim.
B. Reject Ho. There is enough evidence to reject the claim.
C. Reject Ho. There is not enough evidence to reject the claim.
D. Fail to reject Ho. There is not enough evidence to reject the claim.
Transcribed Image Text:Use a t-test to test the claim about the population mean u at the given level of significance a using the given sample statistics. Assume the population is normally distributed. Claim: u = 51,100; a = 0.05 Sample statistics: x = 51,757, s = 3000, n = 18 Click the icon to view the t-distribution table. What are the null and alternative hypotheses? Choose the correct answer below. Ο Α. Η μ= 51,100 Ha: µ#51,100 B. H μ251,100 Ha: µ<51,100 C. Ho: µ#51,100 Hạ: µ= 51,100 O D. Ho: µs51,100 Hai µ>51,100 What is the value of the standardized test statistic? The standardized test statistic, t is |. (Round to two decimal places as needed.) What is(are) the critical value(s)? Hint: left-tailed (<), use "One Tail, a" column with a negative sign right-tailed (>), use “One Tail, a" column with a positive sign two-tailed (#), use "Two Tails, a" column with a negative and a positive sign. The critical values are: (Round to three decimal places as needed. Use a comma to separate answers as needed.) Decide whether to reject or fail to reject the null hypothesis. Compare t with the critical values. See formula sheet for more details. A. Fail to reject Ho. There is enough evidence to reject the claim. B. Reject Ho. There is enough evidence to reject the claim. C. Reject Ho. There is not enough evidence to reject the claim. D. Fail to reject Ho. There is not enough evidence to reject the claim.
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